Wesley, George and Owen had 210 erasers. After Wesley used 23 erasers and George used
14 of her erasers, Wesley had twice as many erasers left as George. Owen bought another 33 erasers, he had four times the number of erasers George had left. How many erasers did Owen have at first?
| |
Wesley |
George |
Owen |
Total |
| Before |
6 u + 23 |
4 u |
12 u - 33 |
210 |
| Change |
- 23 |
- 1 u |
+ 33 |
|
| After |
6 u |
3 u |
12 u |
|
Comparing Wesley
and George in the end |
2 |
1 |
|
|
Comparing Owen
and George in the end |
|
1 |
4 |
|
Number of erasers that Wesley had in the end
= 2 x 3 u
= 6 u
Number of erasers that Owen had in the end
= 4 x 3 u
= 12 u
Total number of erasers at first
= 6 u + 23 + 4 u + 12 u - 33
= 22 u - 10
22 u - 10 = 210
22 u = 210 + 10
22 u = 220
1 u = 220 ÷ 22 = 10
Number of erasers that Owen had at first
= 12 u - 33
= 12 x 10 - 33
= 120 - 33
= 87
Answer(s): 87
